Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424d |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
26826826752 = 210 · 39 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,-6534] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:54:1] |
Generators of the group modulo torsion |
j |
2916 |
j-invariant |
L |
3.8644126235327 |
L(r)(E,1)/r! |
Ω |
0.8982131197237 |
Real period |
R |
1.0755834385723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8712b1 69696dv1 17424b1 17424c1 |
Quadratic twists by: -4 8 -3 -11 |